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A crown weighed in air is found to have the same weight as a 5.1 kg mass, while the same crown under water seems to weigh only as much as a 4.5 kg mass.
(a) Assume that the crown is suspended by a string to a scale. Draw a free body diagram showing all the forces on the crown when the crown is suspended under water.
(b) Write Newton's 2nd Law for the forces in the vertical direction.
(c) Which of these forces does the scale read?
(d) What is the buoyant force acting on the crown in kilograms?
(e) What is the volume of water displaced?
(f) Calculate the density of the metal with which the crown is made.
A cockroach with mass m runs counter clockwise around the rim of a lazy Susan (a circular dish mounted on a vertical axle) of radius R and rotational inertia I with frictionless bearings.
Find the von Mises stress (in MPa) at the location of the strain gages.
A photon is emitted when a hydrogen atom undergoes a transition from the n = 6 state to the n = 1 state. Calculate values for the following. the wavelength. the energy of the emitted photon. the frequency
Suppose one gallon of gasoline produces 1.1 108 J of energy, and this energy is sufficient to operate a car for 43 miles. how many miles would the car go on a single tablet
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The polar ice caps contain about 2.48 x 10^19 kilogram of ice. This mass contributes negligibly to the moment of inertia of the earth because it is located at the poles, Find what would be the change in the length of the day
A rock is thrown upward from the level ground in such a way that the maximum height of its flight is equal to its horizontal range R. (a) At what angle ? is the rock thrown? (b) In terms of its original range R, what is the range Rmax the rock can at..
An airplane has a velocity relative to the air of 190 m/s in a westerly direction. If the wind has a speed relative to the ground of 59 m/s directed to the north. What is the speed of the plane relative to the ground
In the movie The Gods Must be crazy, a bottle is thrown from a cliff overlooking the Indian Ocean. Compute its velocity just before impact
A capacitor is connected across the terminals of an ac generator that has a frenquency of 460 Hz and supplies a voltage of 24 V. When a second capacitor is connected in parallel with the first one, the current from the generator increases by 0.18 A. ..
An alpha particle (q=2e and m=4mp) is projected directly at a gold nucleus (q = 79e) which can be assumed to be fixed in place. Assume that the alpha particle starts from a point which is very far from the gold and that it has an initial speed of 4. ..
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